TY - JOUR
T1 - Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces
AU - Cui , Xiaona
AU - Dou , Changsheng
AU - Jiu , Quansen
JO - Journal of Partial Differential Equations
VL - 3
SP - 220
EP - 238
PY - 2012
DA - 2012/09
SN - 25
DO - http://doi.org/10.4208/jpde.v25.n3.3
UR - https://global-sci.org/intro/article_detail/jpde/5185.html
KW - Inviscid Boussinesq system
KW - local well-posedness
KW - blow-up criterion
AB - <p>We prove the local in time existence and a blow up criterion of solution in the Hölder spaces for the inviscid Boussinesq system in R^N, N≥ 2, under the assumptions that the initial values θ_0, μ_0∈C^r, with 1&lt; r≠ 2.</p>